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    Recursive definitions

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    Give a recursive definition of
    a) the sequence {an}, n=1,2,3,...if
    i. an = 1+(-1)n
    ii. an = n2
    b) of the set of ordered pairs of positive integers S = {(a,b) | a є Z+, b є Z+, and 3 |(a+b)}.

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    This solution is comprised of a detailed explanation to give a recursive definition.